Which of the answer choices is a number between -1 and -2? -1.2 -2.01 -0.99 -0

What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

8 0

3 years ago

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I need to prove the following statement: a number is even if and only if its last digit is even.

Tanzania [10]

It is basically like 82 84 76 94

6 0

3 years ago

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Will give me a 20% discount if I spend over $50 my bill is $75.What is my final bill after the savings

Andrews [41]

Hey there,
$75 is above $50
Final Bill = $75 - (20% x $75)
= $75 - $15
= $ 60

Hope this helps :))

~Top♥

7 0

3 years ago

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Find the value of'y'from the given figure <img src="https://tex.z-dn.net/?f=class8" id="TexFormula1" title="class8" alt="clas

telo118 [61]

Answer:

$y = 30$

Skills needed: Angle Geometry

Step-by-step explanation:

1) First, let's see what we should know prior to solving.

---> We have to find the value of $y$ , and looking at that diagram, we have to create an equation.

---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).

---> When you add $3y+3y$ , you can set that sum equal to 180. This is because the two angles marked $3y$ added together make a straight line, which is a straight angle.

(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)

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2) Now, the equation would be:

$3y+3y=180$

$6y=180$ --> Combining $3y$ and $3y$ (3+3 = 6)

$y = 180\div6$ --> Dividing by 6 on both sides, to get $y$ by itself.

$y=30$ ---> $180 \div 6$ is 30, so $y$ is equal to 30.

-------------------------------------------------------------------------------------------------------------

$y=30$

6 0

2 years ago

Multiply: (3x - 5)(-x + 4)

insens350 [35]

Answer:

-3x²+17x-20

Step-by-step explanation:

When you apply the distributive property (which you did correctly), you simply multiply each number or variable in which you have to distribute it to (which again you wrote correctly) and then you add them all together.

(3x)(-x)=-3x²

+

(3x)(4)=12x

+

(-5)(-x)=5x

+

(-5)(4)=-20

Add those and you will get your answer. Hope this helped :)

3 0

2 years ago

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